# Math Help - Need some logical assistance

1. ## Need some logical assistance

In 1820 my GDP is $8000, workforce is 500, share employed is 70%, what is my population? what is my output per worker? and what is my GDP per capita? In 1830 my GDP is$12000, workforce is 600, share employed is 75%, same questions as above.

Thanks
having a brain freeze!!!

2. 500 is 70% of what?

600 is 75% of what?

Output / Worker = GDP / Workforce

Output / Capita = GDP / Population

Plug 'n' Chug! Let's see what you get.

3. ## thanks for the assistance

500 is 70% of what? and 600 is 75% of what?

I am assuming I can use the formula, portion=ratexbase. If so,
for the first I get 714.285 and for the second it's 800.

Since 70% of the entire workforce(500) is employed, this would be 350 people actually working from the available workforce.

The second portion; 75% of the workforce(600) is employed, this would be 450 people actually working from the available workforce.

If I want output per worker, I take the GDP and divide it by the actual people working; 8000/350 = 22.86 for the first and 12000/450 = 26.67

As for the GDP per Capita; for the first; 8000/714.28 = 11.20 and for the second; 12000/800 = 15

I believe this makes sense to me. Am I on the ball now?